Construct a line through the point (3,1) that is perpendicular to the line through (2,12) and (5,18). Answer in slope-intercept form.

Answers

Answer 1

Answer:

  y = -1/2x +5/2

Step-by-step explanation:

The equation of the desired line can be determined by first finding the slope of the line between the two reference points. Then the point-slope equation of the desired line can be written, and that can be rearranged to slope-intercept form.

__

The slope of the line between two points is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (18 -12)/(5 -2) = 6/3 = 2

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = -1/2

__

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The line we want can be described by the equation ...

  y -1 = -1/2(x -3) . . . . . line with slope -1/2 through point (3, 1)

__

Rearranging to slope-intercept form, we find ...

  y = -1/2x +3/2 +1

  y = -1/2x +5/2

_____

Additional comment

The geometry program used to draw the figure in the attachment shows the line's equation in standard form to be ...

  x +2y = 5

Solving for y gives the slope-intercept equation:

  2y = -x +5 . . . . . . . . subtract x

  y = -1/2x +5/2 . . . . . divide by 2

Construct A Line Through The Point (3,1) That Is Perpendicular To The Line Through (2,12) And (5,18).

Related Questions

PLEASE ANSWER QUICKLY!!!!

Answers

128 that is the answer yw

Write the slope-intercept form of the given line. Include your work in your final answer.

Answers

Answer:

y=1x+-1

Step-by-step explanation:

y=mx+b

m=slope which is 1/1 because it is rise over run (rising 1, running 1)

b=y-intercept form which is -1 because that is where the line meets the y axis

Find the 89th term of the arithmetic sequence 25, 35, 45, ...25,35,45,...

Answers

Answer:

895

Step-by-step explanation:

There's a repetitive pattern of adding +10 each time.

If f(x) = 2x and g(x) = 5x, what is f(g(x)) when x = 3?​

Answers

Hey there!

RANDOM FACTOID:

‘‘f(x)’’ or ‘‘g(x)’’ is understood to be “y”


f(x) = 2x

f(x) = 2(3)

f(x) = 2 + 2 + 2

f(x) = 4 + 2

f(x) = 6


Therefore, your answer is: f(x) = 6


g(x) = 5x

g(x) = 5(3)

g(x) = 5 + 5 + 5

g(x) = 10 + 5

g(x) = 15


Therefore, your answer is: g(x) = 15


OVERALL ANSWER: f(x) = 6 or g(x) = 15


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Try this B E Given: BELO, BOLE Prove ABEL ALOB Complete the Proof Statements 1. 2. BO=LE 3. 4. ∆BEL =∆LOB REASONS 1.GIVEN 2. 3. 4. ​

Answers

The given congruency of the sides [tex]\mathbf{\overline{BE}}[/tex] and [tex]\mathbf{\overline{LO}}[/tex]  and [tex]\mathbf{\overline{BO}}[/tex] and [tex]\mathbf{\overline{LE}}[/tex] as well

as the congruency of the common side [tex]\mathbf{\overline{BL}}[/tex] gives.

ΔBEL ≅ ΔLOB by SSS congruency postulate

Which values correctly completes the table?

The completed two column proof is presented as follows;

Statement [tex]{}[/tex]                                          Reasons

1. [tex]\underline{\overline{BE} \cong \overline{LO}}[/tex]                       [tex]{}[/tex]                  1. Given

2. [tex]\overline{BO}[/tex] ≅ [tex]\overline{LE}[/tex]                       [tex]{}[/tex]                 2.

3. [tex]\underline{\overline{BL} \cong \overline{BL}}[/tex]                       [tex]{}[/tex]                  3. Reflexive property of congruency

4. ΔBEL ≅ ΔLOB                     [tex]{}[/tex]           4. SSS congruency postulate

Side-Side-Side, SSS, congruency postulate states that if three sides of

one triangle are congruent to three sides of another triangle, the two

triangles are congruent.

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The cardinals played 48 games . They won twice as many as they lost . How many did they win?

Answers

Answer:

They won 32

Step-by-step explanation:

16 is half of 32

32+16=48

Alex skated 5 meters in 4 seconds. How fast was Alex skating per second? ​

Answers

1.25 meters

5 divided by 4 = 1.25

HOW TO DO IT
Divide 5 and 4 and you’ll get 1.25

ANSWER
1.25 per second

Determine the constant of proportionality based on the graph below.

Answers

The constant proportionality is 1 to 48Step-by-step explanation:72 / 1.5 = 48

Please help I need it asap pls pls pls

Answers

Answer:

1 person = 0.75

1 person = 3/4

Step-by-step explanation:

This answer is at best a guess. It seems to me that you are constructing a circle graph, and I would like that confirmed.

The total number of people in the survey is

Total in survey = 96 + 60 + 24 + 96 + 204

Total in survey = 480

A circle contains 360 degrees.

480 people have 360 degrees of circle room

1  person has x degrees of circle room

480 / 1 = 360 / x

Cross multiply

480 x = 360 *1       Divide both sides by 480

x = 360 / 480

x = 0.75

One person takes 3/4 of a degree of the circle.

So the number of people wanting to go to the UK would be

96 * 0.75 = 72 degrees,

For each part of the table, just use what the frequency is for that entry where 96 is now.

3(x+2) = 3x + 6 is an example of which property?

Answers

Answer:

Distributivity.

Step-by-step explanation:

13. Solve the inequality.
4(x + 3) – 7 2 x + 3(x + 1)

Answers

Answer:

x=    -2         -3

Step-by-step explanation:

4x+12-72x+3x+3

15-65x

5(3-13x)

pls heart and give brainliest much appreciated

Answer: 5(3-13x)

Step-by-step explanation:

4x+12-72x+3x+3

15-65x

5(3-13x)

Graph and analyze the function f(x)= 1/x-2

Answers

I graph it for you but I don’t know what to tell you for the rest of your questions

The table below shows the number of marbles of each color sold in a single box. There are a total of 25 marbles in the box.
Marbles in the Box
Color
Number
red
11
blue
11
green
3
The likelihood of an event occurring may be described as being certain, more likely, equally likely, less likely, or impossible

Answers

We will find the probability of getting each color of marble, and we will see that getting red and blue is equally likely, while getting green is less likely.

How to find the probabilities for each color of marble?

If we draw a marble at random from the box, all of them will have the same probability of being drawn.

Then the probability of getting a given color is given by the quotient between the number of marbles of that color and the total number of marbles.

Probability of getting red:

P = 11/25 =  0.44  This is really close to 50%, so this is equally likely.

Probability of getting blue:

P = 11/25 =  0.44  This is really close to 50%, so this is equally likely.

Probability of getting green:

P = 3/25 = 0.12 This is really close to 0%, so this is less likely.

If you want to learn more about probability, you can read:

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The classical approach to probability requires that the outcomes are​ _______.

Answers

Answer:

equally likely

Step-by-step explanation:

The classical approach to probability requires that the outcomes are​ equally likely.

Equally likely means the chance or possibility of selection in the sample is equal for them. None is prioritized over the other, all has the equal chance of being selected in the sample.

Given that we are using the classical approach to probability which is based on an assumption that for any procedure having random set of possible outcomes, the possibility of each outcome is equal.

Thus, the classical approach to probability requires that the outcomes are​ equally likely.

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What are the differences of outputs for any two inputs that are 1 apart

A.-30

B.-25

C. 1

D.20​

Answers

B -26 hope that can help you

more than one question! Please help me! i have been struggling all day and today i’m on a time limit

Answers

Answer:

2(15 *4)=120

2(5*4)=40

2(15*5)=150

Total = 310mm^2

Second picture:

7k+14

36d+144

Answer:

surface area = 2(5 × 4) + 2(15 × 4) + 2(15 × 5) = 310 mm²

  7(k + 2)

= 7×k + 7×2

= 7k + 14

  12(3d + 12)

= 12×3d + 12×12

= 36d + 144

surface area rectangular prism = 2(4 × 5) + 2(15 × 4) + 2(15 × 5) = 310 cm²

  5x + 7x - 2

= 12x - 2

  4 + 3g - g + 2g

= 4g + 4

  2 + 4g + 7g + 5

= 11g + 7

A container holds 5 1/3 pints of water. A bucket holds 1 1/4 times as much water than the other container how many pints of water does the bucket hold

Answers

The quantity of water that the bucket can hold given the quantity of water the container can hold is 6 2/3 pints.

How much water can the bucket hold?

In order to determine the quantity of water the bucket can hold, we have to multiply the pints the container can hold by 11/4

5 1/3 x 1 1/4

Convert the mixed fractions to improper fractions

16/3 x 5/4 = 20/3 = 6 2/3 pints

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

2) On a multiple choice test with four possible answers for each question, what is the probability of
answering a question correctly if you make a random guess
A) 1/2
B) 1
C) 3/4
D) 1/4

Answers

D) 1/4
is the answer

Julian and two of his friends are going to share 1/4 of a pizza how much will each person get

Answers

Answer:

2

Step-by-step explanation:

because

the pizza will be shared according to the total number of people zo

1/4×2=2

Answer:

it is b

Step-by-step explanation:

just try halfing it

Examine the ordered pairs in this relation. (8,5), (-3,8), (11, -1), (10,-5), (4,4) Which numbers are input values of the relation?​

Answers

Answer:

  {-3, 4, 8, 10, 11}

Step-by-step explanation:

The ordered pairs are usually defined as (input, output). That is, the input values of the relation are all of the first-numbers of the pairs:

  {8, -3, 11, 10, 4}

We usually like to list members of a set in numerical order:

  {-3, 4, 8, 10, 11} . . . . input values of the relation

mary brought 143.4 ounces of flour and she used 16.88 ounces of it to make biscuit how much is left

Answers

Answer:

126.52 ounces left but rounding up 127

Find the exact value of cos A in simplest radical form.

Answers

Answer:

7/8 (0.875)

adjacent/hypotenuse

-1/2(-2x+4y) as expaned


please, please help

Answers

Answer:

Your answer is: -2y - x

Factor the polynomial.

Step-by-step explanation:

Hope this helped : )

Please help me if u click there will be picture

Answers

Answer:

635,298

Step-by-step explanation:

We can group these by base ten values. 6 hundred thousands, 3 ten thousands, 5 thousands, 2 hundreds, 9 tens, and 8 ones. When putting them into place, we can go by order in which we will ger 635298

Answer:

635,298

Step-by-step explanation:

add all the numbers together to get the sum of your answer.

What is the average rate of change from n = 3 to n = 4 for the sequence a, = 1(2)n - 1?

Answers

Answer:

Depends on what sequence it is. For geometric it's 7/5 and for arithmetic - 2

Step-by-step explanation:

For n = 3:
a, = 1*2*3 - 1 = 5
For n = 4:
a, = 8 - 1 = 7

These are the terms for n = 3 and n = 4 but the thing is, this could be both geometric sequence and arithmetic sequence, since you didn't specify, here are the possible answers:

For geometric sequence, the rate of change is equal to An / An-1 therefore:
r = 7 /5

For arithmetic sequence, it's equal to A2 - A1 = 7 - 5 = 2

Just put down the graph points and show a little work! PLEASE HELP FAST!!!

Answers

Answer:

Step-by-step explanation:

y intercept for top is 0,4 and the line should go up by 3 lines and over by 1 everytime

y intercept for below is 0,2 and the line should go up by 1 line and over by 1 line everytime.

Multiply six times three then divide by two

Answers

6x3=18 18/2 =9 so your answer is 9

The solution when multiplied 6 times 3 and then dividing by 2 is 9.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

Multiply six times three then divide by two.

First we have to multiply 6 times 3.

6 × 3 = 18

Then we divide the answer by 2.

18 ÷ 2 = 9

Hence the solution is 9.

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need help with geometry problem

Answers

Answer:

b. K J L

Step-by-step explanation:

angle opposite the largest side is the largest angle

largest side is JK which is 15 so the angle opposite of , L, is the largest angle

find area in square yards of trapezoid 5 yards, 23 yards base and 12 yards height

Answers

Answer:

I found the area its 168, I converted it to square yards 0.12963.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula

Area = (b1 + b2) * h /2

Givens

b1 = 5       yards

b2 = 23    yards

h = 12       yards

Solution

Area = (5 + 23)*12 / 2

Area = (28)*12/2        Divide by 2

Area = 28*6               Combine

Area = 168                  Yards^2

Which is the better buy?
3-gallon container of disinfectant for $34.56
368 fluid ounce container of disinfectant for $62.56

Answers

Answer:

so one gallon is 11.521 fluid ounce container of disinfectant for 0.17

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